7164137833 has 8 divisors (see below), whose sum is σ = 7196678280. Its totient is φ = 7131621120.

The previous prime is 7164137809. The next prime is 7164137861. The reversal of 7164137833 is 3387314617.

7164137833 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 7161729129 = 1552^2 + 84627^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7164137833 - 2⁵ = 7164137801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7164137833.

It is not an unprimeable number, because it can be changed into a prime (7164135833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911163 + ... + 918991.

It is an arithmetic number, because the mean of its divisors is an integer number (899584785).

Almost surely, 2^7164137833 is an apocalyptic number.

It is an amenable number.

7164137833 is a deficient number, since it is larger than the sum of its proper divisors (32540447).

7164137833 is a wasteful number, since it uses less digits than its factorization.

7164137833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11867.

The product of its digits is 254016, while the sum is 43.

The square root of 7164137833 is about 84641.2301009384. The cubic root of 7164137833 is about 1927.7674555283.

The spelling of 7164137833 in words is "seven billion, one hundred sixty-four million, one hundred thirty-seven thousand, eight hundred thirty-three".